Running head: DIFFERENTIAL EFFECTS OF COGNITIVE LOAD The Differential Effects of Cognitive Load on Time and Accuracy of Response Ari Klevecz, Daniel Slyngstad & Shayla Velthuis Claremont Graduate University 1 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 2 The Differential Effects of Cognitive Load on Time and Accuracy of Response Data presentation has become an increasingly popular subject due to the demand that new technology has placed on data visualization, ease of presentation, and graphical images. Not only do people enjoy seeing data visually, but there is now a dramatically increased capability for creating visual data representations and sending them via email to increase speed and depth of understanding of large amounts of data for increasingly large audiences. However, knowledge of contingencies in data presentation, these new ways of graphically representing data can not only be taxing in terms of the time it takes to understand the information presented, but also how accurately people interpret the information, and how they are affectively influenced by the information presented in a visual format. Thus the questions remain: What does the “ideal” graph look like, and is it consistent with principles articulated by data presentation scholars (Wainer; 1984, Tufte, 2001)? How much information is too little/too much? Previous work done on this topic of graphical representation focuses on how not to present data (Wainer, 1984; Wainer, 1997). In the data presentation rules by Wainer (1997), he says that bad graphs minimize the data density, and thus have a very low data to ink ratio. In this case, the ideal graph would have a high data to ink ratio and provide as much information possible with the least amount of ink. Many people have done work on the understanding of graphical information from the “too much” information or high ink-to-data ratio stand point (Wainer, 1997; Zawitz, 2000). Research in cognitive psychology supports the idea that too much information or ink presented might increase a person’s (extraneous) cognitive load (Sweller et al., 1998), which is a measure of strain on a person’s working memory; applied to the current context, it would mean inability to interpret information correctly if too many items that require mental attention are presented at one time (Kalyuga, 2011). However, it should be noted that too little ink on the graph might make the graph difficult to interpret as well and that in a way, too DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 3 little information creates high (intrinsic) cognitive load as well (Sweller et al., 1998), in that people assessing visual representations of data would need to exert more executive control over working memory in order to decipher information being presented in the graph and how pieces of information fit together. It is this relationship that has yet to be thoroughly explained in the graphical data research. Additionally, the current endeavor is consistent with research in multimedia presentations that seeks to account for inherent limitations of human cognition, including the dual-channel assumption (words and pictures are processed differently, and thus both must be considered when making a multimedia presentation) and the limited capacity assumption (Mayer & Moreno, 2003). Further, Mayer and Moreno’s (2003) description of Type 2 cognitive load, or overloading processing demands in multiple processing channels closely matches the current study’s attempt to induce high cognitive load. Therefore, graphs (depicting both visual and verbal information) with both inadequate and overabundant amounts of information are likely to produce high cognitive load, meaning that there would be a curvilinear relationship between the amount of cognitive load and time, accuracy, and affect, in the sense that too little information is as detrimental to a person’s understanding of information as too much information. In this research we aim to being to explore the effect of components of a graph on (a) time spent on the attempt to understand the graph, (b) actual correct responses to the relevant information in the graph, and (c) a measure of the respondents affect, with respect to the amount of relevant information that is provided in each condition. There are several applicable principles of “good data presentation” that the researchers used to create an “ideal” graph. Tufte (1997) recommends that a graph should serve a single purpose which should be one of the following: data description, tabulation, exploration, or DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 4 decoration. That is, a graph’s purpose and information should be clear, and the viewer should understand relatively quickly what is being displayed by the graph. This can be done by focusing on the substance of the graph, rather than focusing on extra designs, methodology, or technology (Tufte, 1983; Tufte, 1997). By incorporating extra information or making the graph more technologically interesting (such as visual cues or motion) the actual meaning of the graph could be misinterpreted. It is this research that guided the way in which we attempted to create our “ideal” graph. The researchers attempted to include relevant information that would be helpful for the understanding and quickness of response when answering questions, in addition to either too little or too much relevant information, specific to the graphs with varying cognitive load (from either too little or too much information). Klass (2002) explains that the relationship between how quickly and effectively the information is digested by the reader and the graphical content is understood, is increased when the data in a table or graph is formulated well. An efficient graphical display will allow a reader to quickly discern the purpose and importance of the data and to draw a variety of interesting conclusions from a large amount of information. How quickly a reader can digest the information presented, discern the critical relationships among the data, and draw meaningful conclusions depends on how well the chart is formatted. We further hypothesize that the most “ideal” graph will have (1) the lowest response time to the related questions for the graph, (2) the most correct responses to the questions about the graph, and (3) will have the most positive affect and least negative affect response from the participants in their attempt to interpret the graph. Our first hypothesis (1) is that an ideal graph will have the lowest response time to a set of survey questions related to the graph. The hypothesis can be elaborated by describing that the DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 5 researchers expect to find a curvilinear relationship between cognitive load, regardless of whether it is due to too little relevant information (intrinsic cognitive load) or too much relevant information (high extraneous cognitive load). Stated in other words, graphical displays with extremely high data-to-ink ratios will create a longer response time, and the graphs with very low data-to-ink ratios will create the similarly lengthened response time to a set of questions. The “ideal” graph will have the lowest response time, due to an optimal data-to-ink ratio that facilitates rapid understanding of the most important and relevant aspects of the presentation. Our second hypothesis (2) that an ideal graph will yield the most correct responses to the relevant information presented in the graph might be better understood within the context of the first hypothesis. The ideal graph should have both the fastest response time for the most correct amount of answers for the relevant information presented in the graph. The reason hypothesis 2 is grounded in hypothesis 1 is that the point of an ideal graph would be to interpret all the relevant information quickly, thus we are not interested in 100% accuracy of interpretation if the participant takes an extensive amount of time to answer the questions as this is not the point of a graphical presentation of data. Our third hypothesis (3) is that the most ideal graph will lead to less negative affect, and more positive affect for the participant. That is, that an easily interpreted graph will be more enjoyable to interpret and will lead to higher perceived engagement and challenge, while the graphs that produce higher cognitive load will be (in this case) more frustrating, confusing, or boring for the participants to interpret and answer questions about. This hypothesis is less grounded in research on data presentation and represents an attempt at exploratory inquiry by the researchers. It is plausible that those who present data are interested in how their viewers react DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 6 to a presentation, such that it would be beneficial to find an optimal balance between the capability to understand a graphical presentation and the affect that it invokes. Method Participants Participants were recruited using Amazon’s Mechanical Turk (mTurk) and asked to complete a survey on Qualtrics survey design software. In total, 245 respondents completed the survey. Due to difficulties with data collection speed, compensation was increased twice. Therefore, 29 participants were compensated $0.25, 53 participants were compensated $0.40, and 150 participants were compensated $0.60 upon completion of the survey. Design and Measures The researchers implemented a between subjects design in which participants were assigned to one of four distinct conditions (Appendix A). Each conditions included a graph with a set of ten questions (Appendix B), and each condition (from 1-4) included more relevant information provided on the graph to answer the questions presented. Conditions 1-4 can be summarized as “high load, low information”, “medium load, medium information”, “low load, optimal information”, and “high load, high information”, respectively. Condition 3 represents the optimal condition, constructed according to principles of good data presentation (Tufte, 1983; Wainer, 1984; Jacoby, 1997; Klass, 2002). The conditions contained an identical set of questions, and questions were randomized within each condition to account for ordering effects (Sudman, Bradburn & Schwartz, 2010). Each graph was also standardized to the extent that each condition that included more relevant information only added information to the existing graph (e.g. the formatting in Condition 4 was consistent with Condition 3, except for the information that was added to Condition 3 to produce the graph presented in Condition 4). Questions referring to the graph all contained 6 response options to minimize the likelihood that DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 7 participants could get a correct answer by chance, and response options were constrained (as opposed to open ended) to avoid the possibility of respondents providing impossible or irrelevant responses, a tradeoff that is commonly described in survey methods literature (Dillman, 2007). Additionally, respondents were timed according to how long it took them to complete the entire condition. A question designed to examine whether those taking the survey were paying attention was embedded within each condition, instructing participants to select a particular answer. Consistent with research supporting the idea that surveys follow norms of conversation (Dillman, 2007; Sudman, Bradburn & Schwartz, 2010), participants were prompted with a fictional scenario involving a malfunctioning time machine that presented data from the future (in this case, the Olympics) in the form of graphs. Participants were then asked to help interpret the information. This technique (“tickling”) was meant to increase participant engagement in the task. Data used to create the graphs for each condition was gathered from publicly available information about the race for gold and total cumulative medals in the 2012 London Olympic Games. Participants were told that the data was being gathered from the 2048 Olympics, and the names of the countries were kept anonymous to avoid the potentially biasing effects of public knowledge on survey results (Crano & Brewer, 2002). After the respondents were finished answering the 10 questions about the graph of cumulative gold versus total medals, they were then directed to answer questions about affective outcomes, including frustration, confusion, engagement, boredom, and challenge. The questions were presented as sliding scales on Qualtrics, ranging from 0-100 for each measure (Appendix C). Like earlier questions, they were presented in random order. Given that the research is primarily exploratory in nature, validated scales for each of these items were not used. Since the DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 8 survey was hosted on mTurk twice before, a question was added at the end of the survey (so as not to jeopardize comparability between data “batches”) inquiring whether participants had ever taken the survey before. Results Descriptive Analyses Two cases were removed before analyses began, one for failure to provide informed consent, and another for failing the attention check question embedded within their condition. Three additional respondents were removed due to failure to complete the survey. Descriptive analyses were conducted for the participant’s country of origin, amount of time it took participants to complete their assigned condition, the total number of correct answers given (out of 10 possible), and for the assigned condition (to assess cell sample size), in order to assess violations of statistical assumptions. Of the remaining cases, 79.7 percent were from the United States (n=192), 18.1 percent were from India (N=43), and 2.0 percent (0.4 percent each) were from Canada (n=1), Egypt (n=1), Jamaica (n=1), Qatar (n=1), and Sweden (n=1). To be consistent with previous research on data presentation, and with the reading norms that were consulted during the construction of each condition, only those participants from the United States were included in univariate analyses (Dillman, 2007). Results of descriptive analyses for number of correct answers reveals no major departures from normality (skewness = -0.40, kurtosis = -0.72). No univariate outliers were detected for this variable. For the time to complete condition variable, however, evidence for departure from normality (skewness = 1.60, kurtosis = 3.85) prompted the removal of three univariate outliers and a logarithmic transformation. The transformed variable more closely approximated normality (skewness = -0.25, kurtosis = 0.83). After removal of outliers, a listwise deletion DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 9 procedure was applied, such that data 179 participants (N=179) were included in analyses to test research hypotheses. Thirty-nine (n=39) respondents were given Condition 1, forty-seven (n=47) respondents were assigned to Condition 2, forty-seven (n=47) participants were assigned to Condition 3, and forty-six (n=46) respondents were assigned to Condition 4. Test of Hypothesis 1: Time A univariate ANOVA was conducted using condition as a fixed factor with the log transformed time variable as the dependent variable, testing the hypothesis that there is a quadratic component in the relationship between time and condition, such that as load increases (either with too little or too much relevant information presented), the time it takes to complete the questions also increases. The descriptive statistics used for the analysis of the time variable are represented in Table 1. Overall, the researchers found a significant main effect of condition, F(3, 176)=2.85, p<.05. Additionally, a significant quadratic component was discovered, suggesting a curvilinear relationship between assigned condition and time to completion, F(1, 176)=4.98, p<.05. Pairwise comparisons were conducted to assess simple effects between each condition. Because this research is mainly an informed exploratory endeavor, Fisher’s Least Significant Difference (LSD) was used to assess statistical significance of mean differences between the average time taken to complete the task for each condition. A significant difference was observed between Condition 1 (M=2.50, SD=0.24) and Condition 3 (M=2.40, SD=0.20), p<.05, and between Condition 3 and Condition 4 (M=2.53, SD=0.24), p<.01, suggesting that conditions characterized by higher cognitive load take longer time to complete, regardless of whether the condition has high or low levels of relevant information. Figure 1 depicts the curvilinear DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 10 relationship between condition and time, showing that those in Condition 3 took the least time. Overall the the results provide strong support for hypothesis 1. Figure 1. Plot of means for completion time for each condition. Significant differences were found between the “High Load, Low Info” and “Low Load, Optimal Info” conditions, and between the “Low Load, Optimal Info” and “High Load, High Info” conditions. Note that the y-axis begins at “2.40” and not “0”. Test of Hypothesis 2: Total Correct Answers A second univariate ANOVA was conducted using condition as a fixed factor with the number of correct answers as the dependent variable, testing the hypothesis that there is a quadratic component in the relationship between condition and number of correct answers given by respondents, such that the number of correct answers given would be lower, on average, for conditions with higher cognitive load, regardless of whether increased load came from the lack of excess of relevant information given. The descriptive results for this hypothesis are depicted in Table 2. The researchers found a significant main effect of condition, F(3, 176)=20.01, p<.001, however no statistically significant quadratic component was detected for this relationship. DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 11 Pairwise comparisons were also conducted to test simple effects for this hypothesis. Since no significant quadratic component was discovered, the researchers were less interested in collecting nuanced exploratory data for comparisons between each condition, and thus Tukey’s Honestly Significant Difference (HSD) was chosen as the method of comparison to adjust for alpha inflation. Significant differences were found between the means of Condition 1 (M=4.85, SD=2.07) and Condition 3 (M=6.83, SD=2.57), p<.001, and between Condition 1 and Condition 4 (M=8.00, SD=1.80), p<.001, as well as between Condition 2 (M=5.34, SD=1.96) and Condition 3, p=.001, and between Condition 2 and Condition 4, p<.001. Conditions 3 and 4 were also found to be significantly different from each other, p<.01. The results generally suggest that as the amount of relevant information increases, the number of correct answers increase regardless of the amount of cognitive load (from low or high amounts of relative information). Overall, the researchers found partial support for hypothesis 2. Figure 2 depicts the relationship between condition and number of correct answers. The “ideal” graph presented Figure 2. Plot depicting the means of total correct answers for each condition. The graph suggests a relatively linear relationship between the two variables, such that number of correct answers increases with the amount of information presented. Significant differences were found between the “High Load, Low Info” and “Low Load, DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 12 Optimal Info” conditions, and between the “Low Load, Optimal Info” and “High Load, High Info” conditions. Note that the y-axis begins at “4” and not “0”. in Condition 3 did not show the highest average amount of correct answers, but it was not statistically significantly different from Condition 4 in this regard. Test of Hypothesis 3: Affective Outcomes A multivariate analysis of variance (MANOVA) was conducted using condition as the fixed factor and the affective outcomes of frustration, confusion, engagement, boredom, and challenge as dependent variables. The analysis revealed a significant effect of condition, Pillai’s Trace=0.23, F(15, 526)=2.98, p<.001. Five univariate ANOVAs (with trend analyses) were also conducted to more accurately describe the effect of condition, and only frustration and confusion showed a statistically significant main effect of condition, F(3, 185)=3.24, p<.05, and F(3, 185)=10.55, p<.001. Trend analyses revealed no evidence for a curvilinear relationship was discovered for any of the five measures. Refer to Tables 3 and 4 for descriptive statistics for the frustration and confusion outcomes in each condition, respectively. Pairwise comparisons were conducted to assess simple effects for the frustration and confusion outcomes. Since the omnibus F again did not detect significant quadratic components, the researchers were not as concerned with detecting nuances in the data in an exploratory fashion, therefore the more conservative Tukey’s HSD was used as the method of pairwise comparison to correct for potential alpha inflation. For frustration (Figure 3), significant differences were discovered between Condition 2 (M=50.22, SD=33.62) and Condition 3 (M=32.39, SD=29.57), implying that participants were significantly more frustrated when asked about graphs that lack an optimal amount of information to answer questions. For confusion (Figure 4), significant differences were found between Condition 1(M=57.09, SD=32.01) and DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 13 Conditions 3 (M=26.67, SD=27.74) and 4 (M=35.73, SD=30.40), and between Condition 2 (M=54.18, SD=35.21) and Conditions 3 and 4. Results suggest that participants are more likely to be both confused and frustrated in conditions in which a less than optimal level of information was presented to them, and provide partial support for hypothesis 3. Figure 3. Mean frustration scores for participants in each condition. The figure suggests that participants are significantly more frustrated when less that optimal information is presented to them. DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Figure 4. Mean confusion scores for participants in each condition. The figure suggests that participants were significantly more confused when a less than optimal amount of relevant information was presented to them. 14 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 15 Discussion Results from the present study provide strong evidence for the curvilinear relationship of our first hypothesis concerning the average time it took to complete each condition, and mixed evidence for our second and third hypothesis concerning accuracy of response and affect measures. Each hypothesis sought to demonstrate that cognitive load has a curvilinear relationship with performance, where high cognitive load can be induced by either too little information or too much information, and that the “optimal” condition constructed according to data presentation principles will produce the least cognitive load, the shortest time of completion and the best performance. Out of the four conditions that we used, the third condition was hypothesized to have the best balance between information and load, and thus people in this condition were thought to demonstrate the lowest times for completion, better accuracy, and more positive affect measures. Statistical evidence demonstrated for the curvilinear relationship for the first hypothesis, where time to complete was significantly higher in the first, second, and fourth condition as compared to our third condition. From this finding, we extrapolate that people in the third condition were able to more quickly gather relevant information from each graph than people in the other three conditions. According to CTL theory (Sweller et al., 1998; Mayer & Moreno, 2003), this would be explained by people in the first two conditions having high cognitive load, being forced to use a relatively larger amount of effort to find relevant information with certain desirable elements absent. Conversely, those that were in the fourth condition would be overloaded by extraneous factors of the graph that distract their attention from relevant information, and thus also increases their time to identify the correct response. The second hypothesis concerning a curvilinear relationship with accuracy was not validated, and instead there was a positive linear relationship between accuracy and amount of DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 16 information provided. Thus, those that were in the fourth condition, who were given the supposed overabundance of information, were the actually the most accurate, with the third, second, and first condition following in descending order. Though this does not coincide with our overarching hypothesis of too much information and too little information similarly decreasing performance, this finding does at least validate that the information added to each graph was relevant and useful to the task. The fact remains that the fourth condition was similar to the two low-information conditions in taking significantly longer than the third condition (the first hypothesis), and so the combination of high information content and greater time devoted may be indicative of high germane cognitive load (Sweller et al., 1998). Germane cognitive load is when working memory is taxed in such a way that high effort increases learning, and this is likely what occurred when diligent respondents used more effort (measured in time) as a means to be more accurate. And so, even though our graphs are inherently a tool for learning, the aim of the present study was to capture the least taxing to highest performance template for graphical display, and the results from the fourth condition may demonstrate superior accuracy with an unnecessarily high degree of effort. This effect may be an interesting avenue for further research into the relationship between pedagogy and graphical display, as desired use and target audience may have interesting interactions for optimal information present in data representation. The third hypothesis explored whether measures of affect would vary with the different degrees of cognitive load that people in each condition experienced. Similar to findings related to the second hypothesis, there was no curvilinear relationship found, but there was a significant difference between the lower information conditions and the higher information conditions in terms of confusion and frustration. People tended to be significantly more frustrated by the second condition than the third condition, and also more confused by the first and second DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 17 condition as compared to the third and fourth. Thus, there seems to be a trend of more information leading to less confusion and frustration in terms of our graphical displays. The fact that people took the most time in the first, second, and fourth condition, but people were the most accurate in the fourth condition, seems to show that in the first two conditions the amount of time was more indicative of failed attempts to find relevant information, whereas the fourth condition was more indicative of effectively sifting through an abundance of relevant information. Thus, relating these measures to time, our participants seemed to demonstrate that frustration and confusion is strongest when great effort leads to little validation of a correct response. Conversely, even though people in the fourth condition were called to put more effort into finding information, their perceived accuracy seemed to mitigate any frustration or confusion. Further research is necessary to validate these additionally theories of affect measures related to graphical displays, as this study was more geared to control comparisons between conditions in terms of time and accuracy. Conclusion, Limitations, and Future Directions One of the greatest limitations to our study is that it is very difficult (or impossible) to design graphs with quantifiable intervals of cognitive load. The current study presented conditions that were at best ordinal in terms of the degree of cognitive load. The four conditions were devised using various tenets of data presentation, and were informed guesses at manipulating interactions between cognitive load and content. Thus, there is much room to improve and test our hypotheses, especially in terms of manipulating the content of each graph, and which components are the most meaningful for improvement. Our study did demonstrate one component that seemed to make a significant difference between the second and third condition. Examination of the graphs of the second and third condition reveals there is actually only one DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 18 functional difference between the two, which is that there are dots corresponding for each data point for each line extending along the x-axis—and this seemingly small improvement generated a significant effect. Further research that aims at breaking down components of effective graphs would elucidate best practices in graphical displays, as well as possibly generating larger and more precise effects of cognitive load than we were able to uncover. Another limitation that may have affected participant’s accuracy and time was that participants had the capability to correct responses that they realized were incorrect after answering a later question. This is a problem for two reasons, firstly, this was a potential confound in the sense that some people may have corrected their responses, and others may not have, and we have no way of grouping people on this parameter to see if it had an effect. Secondly, any corrected responses that were originally incorrectly marked because of issues with cognitive load, and so, it is possible that some of the measures of accuracy (and in turn time spent) are inflated. A design where people are either not allowed to correct their responses once given, or where they are given each question in isolation with the graph would be recommended for future research. The ability to efficiently process graphs is arguably one of the most important aspects of a graphical representation. It is quite a familiar experience when one finds graphs to be intrinsically difficult to piece apart, or the opposite, where relevant information presented in a graph seemed to be highly salient. Using tenets of cognitive psychology, such as theories of cognitive load, we can reveal components of graphical representations that are the most conducive for information processing, and those that are unnecessarily mentally taxing. Our study was successful at demonstrating a curvilinear effect between information presented and DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 19 time, which opens the doors for further research on finding the effective balance between ink and data (Wainer, 1984). DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 20 References Crano, W. D. & Brewer, M. B. (2002). Principles and methods of social research. New York, NY: Psychology Press. Dillman, D. A. (2007). Mail and internet surveys: The tailored design method. Hoboken, NJ: John Wiley & Sons, Inc. Henry, G.T. (1995) Graphing data: Techniques for display and analysis. Applied Social Research Methods Series, Vol. 36. Thousand Oaks, CA: Sage Publications. Jacoby, W. G. (1997). Statistical graphics for univariate and bivariate data. Thousand Oaks, CA: Sage Publications, Inc. Kalyuga, S. (2011). Cognitive load theory: How many types of load does it really need?. Educational Psychology Review, 23(1), 1-19. doi:10.1007/s10648-010-9150-7 Klass, G. (2002) Creating Good Charts. Downloaded 24 August 2010 from http://lilt.ilstu.edu/gmklass/pos138/datadisplay/sections/goodcharts.htm Mayer, R. E. & Moreno, R. Nine ways to reduce cognitive load in multimedia learning. Educational Psychologist, 38(1). 43-52. Nicol, A. A. M., & Pexman, P. M. (2010). Displaying Your Findings: A Practical Guide for Creating Figures, Posters, and Presentations. Washington, DC: American Psychological Association. Robbins, N.B. (2005). Creating more effective graphs. Hoboken, NJ: Wiley Sudman, S., Bradburn, N. M. & Schwartz, N. (1996). Thinking about answers: The application of cognitive processes to survey methodology. San Francisco, CA: Jossey-Bass, Inc. Sweller, J., van Merriënboer, J. J. G., & Paas, F. (1998). Cognitive architecture and instructional design. Educational Psychology Review, 10, 251-296. Tufte, E.R. (1983). The visual display of quantitative information. Cheshire, CT: Graphics Press. DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Tufte, E.R. (1990). Envisioning information. Cheshire, CT: Graphics Press. Tufte, E.R. (1997). Graphical explanations. Cheshire, CT: Graphics Press. Wainer, H. (1984). How to display data badly. American Statistician, 38, 137-147. Wainer, H. (1997). Visual revelations. Mahwah, NJ: Lawrence Erlbaum Associates, Inc. Zawitz, M. (2000). Data presentation: A guide to good graphics. http://www.scs.gmu.edu/~wss/methods/zawitzg.html 21 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Tables 22 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Appendix A: Graphs Given to Participants in each Condition Graph presented to participants in the “High Load, Low Info” condition (Condition 1). Graph presented to participants in the “Medium Load, Medium Info” condition (Condition 2). 23 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Graph presented to participants in the “Low Load, Optimal Info” condition (Condition 3). Graph presented to participants in the “High Load, High Info” condition (Condition 4). 24 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 25 Appendix B: Standardized Questions in each Condition Note: Questions were presented in random order with the font style and size shown below, and are therefore not numbered. How many times did the leader of cumulative total medals (versus gold medals) change during the 2048 games? Once Twice Three times Four times Five times Six times About how many gold medals did Country 1 have at the end of the 9th day at the 2048 Olympics? 35 32 30 28 25 20 On what day were Country 1 and Country 2 tied for gold medals during the 2048 Olympics? 6 7 8 9 10 11 What was Country 1’s total medal count after day 16? 88 104 92 61 38 47 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 26 How many times did Country 1 and Country 2 tie for total medals won during the 2048 Olympics? Once Twice Three times Four times Five times Six times How many times did Country 1 and Country 2 tie for gold medals won during the 2048 Olympics? Once Twice Three times Four times Five times Six times What was Country 2’s gold medal count after day 15? 32 38 40 44 47 50 How wide is the difference between Country 1 and Country 2 in terms of cumulative total medals won during the 2048 Olympic Games? 6 medals 16 medals 27 medals 32 medals 47 medals 49 medals On how many days was Country 2 ahead of Country 1 with regards to gold medals won? 3 days 4 days 5 days 6 days 7 days 8 days DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 27 On how many days was Country 1 ahead of Country 2 with regards to total medals won? 3 days 4 days 5 days 6 days 7 days 8 days The following question was presented with questions and was also incorporated into the random presentation. It is meant to monitor data quality (in terms of how closely participants were paying attention. Please select "67" for this question. 37 47 57 67 77 87 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD Appendix C: Affective Measures 28 DIFFERENTIAL EFFECTS OF COGNITIVE LOAD 29 Appendix D: Instructions (“Tickling”) Note: Directions were presented using the font style and size shown below. Welcome to the survey! Please read the following instructions carefully. As it happens, the authors have invented a time machine. This time machine is extremely advanced, and is able to look into the future and choose important information about future events to send back to us. Unfortunately, this time machine is malfunctioning, and it has begun to send back information outside the control of its creators. We need your help to understand the information. It looks like this time it wants to tell us about the 2048 Olympic Games. It appears that they will be held on a lunar colony, and this will be the first time they have ever been hosted off-world. For some reason, the information is being depicted in a graph. Please analyze the graph carefully and answer the questions provided.
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